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Finding the Fourth Proportional to 715.34, 987.35 and 416.82

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Solution

The fourth proportional to 715.34, 987.35 and 416.82 is: 575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.34 : 987.35 = 416.82 : x
  2. Step 2: Convert to fraction form
    715.34/987.35 = 416.82/x
  3. Step 3: Cross multiply
    715.34x = 987.35 × 416.82
  4. Step 4: Simplify right side
    715.34x = 411,547.23
  5. Step 5: Solve for x
    x = 411,547.23/715.34
  6. Step 6: Final answer
    x = 575.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.